Azure Instances are 64bit
For the SQLite dll, be sure that the 64bit version is referenced. Check the path in Properties to make sure it is pointing to the 64bit version.
Copy Local property set to True
Make sure that the LinxterSDK.dll, log4net.dll and the System.Data.SQLite.dll have their Copy Local property set to True.
If you have added any other references (dlls) that may not be standard, you must have the reference property Copy Local set to True for each of them in order to be included in your package.